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Finding the Fourth Proportional to 5,431.92, 7,501.32 and 3,570

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Solution

The fourth proportional to 5,431.92, 7,501.32 and 3,570 is: 4,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.92 : 7,501.32 = 3,570 : x
  2. Step 2: Convert to fraction form
    5,431.92/7,501.32 = 3,570/x
  3. Step 3: Cross multiply
    5,431.92x = 7,501.32 × 3,570
  4. Step 4: Simplify right side
    5,431.92x = 26,779,712.40
  5. Step 5: Solve for x
    x = 26,779,712.40/5,431.92
  6. Step 6: Final answer
    x = 4,930.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.